3 papers
math.GR2026
Bounded-orbit lattice representations of finite groups
JiaLi Du, Andrea Lucchini, Joy Morris +1
For a finite group , let denote the minimum number of orbits on the elements of a finite lattice with . Babai and Goodman conjectured th…
math.GR2026
On the base size of a finite group on its action on the lattice of subgroups
JiaLi Du, Joy Morris, Pablo Spiga
Given a finite group , we investigate the base size of the action of the automorphism group of on the lattice of subgroups of . Our main result shows that this base size…
math.CO2023
Detecting Graphical and Digraphical Regular Representations in groups of squarefree order
Joy Morris, Gabriel Verret
A necessary condition for a Cayley digraph Cay to be a regular representation is that there are no non-trivial group automorphisms of that fix setwise. A group is DR…